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Finding the Fourth Proportional to 109,963.50, 151,749.66 and 59,662.50

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Solution

The fourth proportional to 109,963.50, 151,749.66 and 59,662.50 is: 82,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.50 : 151,749.66 = 59,662.50 : x
  2. Step 2: Convert to fraction form
    109,963.50/151,749.66 = 59,662.50/x
  3. Step 3: Cross multiply
    109,963.50x = 151,749.66 × 59,662.50
  4. Step 4: Simplify right side
    109,963.50x = 9,053,764,089.75
  5. Step 5: Solve for x
    x = 9,053,764,089.75/109,963.50
  6. Step 6: Final answer
    x = 82,334.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.